Timeline for Non-orientable 3-manifolds
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Sep 3, 2018 at 15:31 | comment | added | YCor | This manifold is the mapping torus of some orientation-preserving self-diffeomorphism of the torus (given by the given matrix). So it's indeed orientable. | |
| Jul 9, 2018 at 5:00 | comment | added | user21230 | Thank you. Can you explain me last sentence of your answer ? How "torsion-free" lead to orientability ? My understanding is that loop changing orientation is infinite order in fundamental group of 3-manifold. Someone answered me on stack exchange, that there are no finite order elements in fundamental group of prime 3-manifold with infinte fundamental group. | |
| Jul 8, 2018 at 12:59 | history | answered | YCor | CC BY-SA 4.0 |